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Jan 3, 2015 at 19:14 comment added Vít Tuček This seems like the construction @Claudio Gorodski gives for $\mathfrak{e}_6$ out of $\mathfrak{f}_4$ and it's last fundamental representation. He mentions that it is a standard construction based on the fact that $E_6/F_4$ is symmetric space and $F_4$ is a symmetric subgroup. Is there a nice reference for that?
Jan 3, 2015 at 13:00 history edited user25309 CC BY-SA 3.0
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Mar 25, 2013 at 22:50 history answered user25309 CC BY-SA 3.0